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Finding the Fourth Proportional to 227,601.36, 314,014.96 and 147,076.32

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Solution

The fourth proportional to 227,601.36, 314,014.96 and 147,076.32 is: 202,916.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,601.36 : 314,014.96 = 147,076.32 : x
  2. Step 2: Convert to fraction form
    227,601.36/314,014.96 = 147,076.32/x
  3. Step 3: Cross multiply
    227,601.36x = 314,014.96 × 147,076.32
  4. Step 4: Simplify right side
    227,601.36x = 46,184,164,741.75
  5. Step 5: Solve for x
    x = 46,184,164,741.75/227,601.36
  6. Step 6: Final answer
    x = 202,916.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.